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After 10 years, daughter’s age will be 35 less than the age of mother. The average age of mother and father is 48 years. Before 5 years, the age of father is 4 less than the ten times the age of daughter. Find the present age of mother.1. 45 years2. 49 years3. 51 years4. 40 years5. 55 years |
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Answer» Correct Answer - Option 1 : 45 years Calculation: Let present age of father, mother and daughter be m years, n years and p years respectively. ⇒ (p + 10) = (n + 10) - 35 ⇒ p = n - 35 Then, ⇒ m + n = 96 ⇒ (m - 5) = 10(p - 5) - 4 ⇒ m - 5 = 10p - 54 ⇒ m = 10p - 49 ⇒ 96 - n = 10p - 49 ⇒ n = 145 - 10p Solving, m = 51 years, n = 45 years and p = 10 years ∴ Present age of mother is 45 years. |
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